// Num elements = 1280 from the north pole to equator
static const double lats_N1280[] = {
    89.946187715665616, 89.876478353332288, 89.806357319542244, 89.736143271609578, 89.6658939412157,
    89.595627537554492, 89.525351592371393, 89.45506977912261, 89.3847841013921, 89.314495744374256,
    89.24420545380525, 89.173913722284126, 89.103620888238879, 89.033327191845927, 88.96303280826325,
    88.892737868230952, 88.822442471310097, 88.752146694650691, 88.681850598961759, 88.611554232668382,
    88.541257634868515, 88.470960837474877, 88.40066386679355, 88.330366744702559, 88.26006948954614,
    88.189772116820762, 88.119474639706425, 88.049177069484486, 87.978879415867283, 87.908581687261687,
    87.838283890981543, 87.767986033419561, 87.697688120188062, 87.627390156234085, 87.557092145935584,
    87.486794093180748, 87.416496001434894, 87.346197873795816, 87.275899713041966, 87.205601521672108,
    87.135303301939786, 87.065005055882821, 86.994706785348129, 86.924408492014166, 86.854110177408927,
    86.783811842927179, 86.713513489844246, 86.643215119328573, 86.572916732453024, 86.502618330203831,
    86.432319913489792, 86.362021483149363, 86.291723039957418, 86.221424584631109, 86.151126117835304,
    86.080827640187209, 86.010529152260403, 85.940230654588888, 85.869932147670127, 85.799633631968391,
    85.729335107917464, 85.659036575922883, 85.588738036364362, 85.518439489597966, 85.448140935957483,
    85.377842375756586, 85.307543809290152, 85.237245236835548, 85.16694665865414, 85.09664807499216,
    85.026349486081983, 84.95605089214304, 84.885752293382765, 84.81545368999717, 84.745155082171991,
    84.674856470082915, 84.604557853896708, 84.534259233771479, 84.463960609857125, 84.393661982296322,
    84.323363351224444, 84.253064716770425, 84.18276607905679, 84.112467438200326, 84.042168794312317,
    83.971870147498763, 83.901571497860914, 83.831272845495249, 83.760974190494011, 83.690675532945292,
    83.620376872933264, 83.550078210538487, 83.479779545838113, 83.409480878905782, 83.339182209812321,
    83.268883538625232, 83.198584865409657, 83.128286190227698, 83.057987513139125, 82.987688834201322,
    82.917390153469313, 82.84709147099602, 82.77679278683226, 82.706494101026948, 82.63619541362705,
    82.56589672467787, 82.495598034222837, 82.425299342304029, 82.355000648961692, 82.284701954234833,
    82.214403258160871, 82.144104560776, 82.073805862115165, 82.003507162211946, 81.933208461098829,
    81.862909758807191, 81.792611055367345, 81.722312350808508, 81.652013645158945, 81.581714938445955,
    81.511416230696042, 81.441117521934686, 81.370818812186627, 81.300520101475826, 81.230221389825374,
    81.159922677257711, 81.089623963794551, 81.019325249456955, 80.949026534265244, 80.878727818239184,
    80.808429101397948, 80.73813038376008, 80.667831665343556, 80.59753294616587, 80.527234226243991,
    80.456935505594302, 80.386636784232863, 80.316338062175078, 80.246039339436052, 80.175740616030438,
    80.105441891972376, 80.035143167275749, 79.9648444419539, 79.894545716019948, 79.824246989486554,
    79.753948262366038, 79.683649534670437, 79.61335080641139, 79.543052077600308, 79.472753348248219,
    79.402454618365894, 79.332155887963822, 79.261857157052191, 79.191558425640977, 79.121259693739859,
    79.050960961358285, 78.980662228505423, 78.910363495190211, 78.840064761421445, 78.769766027207638,
    78.699467292557102, 78.629168557477882, 78.558869821977908, 78.488571086064923, 78.418272349746417,
    78.347973613029708, 78.277674875922045, 78.207376138430348, 78.137077400561424, 78.066778662322022,
    77.996479923718596, 77.926181184757539, 77.855882445445019, 77.785583705787161, 77.71528496578982,
    77.644986225458879, 77.574687484799924, 77.504388743818524, 77.434090002520122, 77.363791260909963,
    77.293492518993247, 77.22319377677502, 77.15289503426024, 77.082596291453768, 77.012297548360323,
    76.941998804984564, 76.871700061330955, 76.801401317404, 76.731102573208048, 76.660803828747362,
    76.59050508402602, 76.520206339048215, 76.449907593817869, 76.379608848338933, 76.3093101026152,
    76.239011356650423, 76.16871261044831, 76.098413864012443, 76.028115117346374, 75.957816370453543,
    75.887517623337317, 75.81721887600105, 75.746920128447996, 75.67662138068134, 75.60632263270422,
    75.536023884519707, 75.465725136130786, 75.395426387540439, 75.325127638751567, 75.254828889766983,
    75.184530140589501, 75.114231391221821, 75.043932641666672, 74.973633891926625, 74.903335142004323,
    74.833036391902269, 74.762737641622991, 74.692438891168877, 74.622140140542356, 74.551841389745761,
    74.481542638781434, 74.411243887651622, 74.340945136358584, 74.270646384904481, 74.200347633291472,
    74.13004888152166, 74.059750129597163, 73.98945137751997, 73.919152625292114, 73.848853872915541,
    73.778555120392184, 73.70825636772399, 73.637957614912779, 73.567658861960396, 73.497360108868662,
    73.427061355639339, 73.356762602274188, 73.2864638487749, 73.216165095143182, 73.145866341380668,
    73.075567587489019, 73.005268833469799, 72.934970079324657, 72.864671325055056, 72.794372570662574,
    72.724073816148703, 72.653775061514935, 72.583476306762691, 72.513177551893421, 72.442878796908545,
    72.3725800418094, 72.302281286597392, 72.231982531273843, 72.161683775840089, 72.091385020297409,
    72.02108626464711, 71.950787508890414, 71.880488753028587, 71.810189997062835, 71.739891240994368,
    71.669592484824364, 71.599293728553988, 71.528994972184378, 71.458696215716685, 71.388397459152031,
    71.318098702491469, 71.247799945736105, 71.177501188887007, 71.107202431945211, 71.036903674911756,
    70.966604917787635, 70.896306160573886, 70.826007403271475, 70.755708645881384, 70.685409888404578,
    70.615111130841967, 70.544812373194532, 70.474513615463138, 70.404214857648739, 70.333916099752187,
    70.263617341774406, 70.193318583716191, 70.123019825578467, 70.052721067362043, 69.982422309067744,
    69.912123550696421, 69.841824792248843, 69.771526033725834, 69.701227275128161, 69.630928516456592,
    69.560629757711908, 69.490330998894862, 69.420032240006194, 69.349733481046613, 69.279434722016902,
    69.209135962917699, 69.138837203749759, 69.068538444513763, 68.998239685210365, 68.927940925840304,
    68.85764216640419, 68.787343406902693, 68.717044647336493, 68.646745887706189, 68.576447128012447,
    68.506148368255865, 68.435849608437067, 68.365550848556666, 68.295252088615257, 68.224953328613438,
    68.154654568551791, 68.084355808430871, 68.014057048251274, 67.943758288013555, 67.873459527718282,
    67.803160767365966, 67.732862006957205, 67.662563246492482, 67.592264485972336, 67.521965725397308,
    67.451666964767895, 67.381368204084609, 67.311069443347961, 67.240770682558434, 67.170471921716526,
    67.100173160822706, 67.029874399877471, 66.95957563888129, 66.889276877834618, 66.818978116737924,
    66.748679355591662, 66.678380594396273, 66.608081833152212, 66.537783071859891, 66.467484310519808,
    66.397185549132331, 66.326886787697887, 66.256588026216932, 66.186289264689833, 66.115990503117033,
    66.045691741498899, 65.975392979835888, 65.905094218128355, 65.834795456376696, 65.764496694581283,
    65.694197932742526, 65.623899170860767, 65.553600408936404, 65.483301646969792, 65.413002884961315,
    65.342704122911286, 65.272405360820116, 65.202106598688133, 65.131807836515677, 65.061509074303089,
    64.991210312050711, 64.920911549758912, 64.850612787427963, 64.780314025058246, 64.710015262650074,
    64.639716500203733, 64.569417737719576, 64.499118975197902, 64.428820212639039, 64.358521450043284,
    64.288222687410922, 64.21792392474228, 64.147625162037642, 64.07732639929732, 64.00702763652157,
    63.93672887371072, 63.866430110865004, 63.796131347984762, 63.725832585070251, 63.655533822121711,
    63.585235059139464, 63.514936296123757, 63.444637533074854, 63.374338769993031, 63.304040006878537,
    63.23374124373165, 63.163442480552604, 63.093143717341647, 63.022844954099064, 62.952546190825068,
    62.882247427519928, 62.811948664183866, 62.741649900817137, 62.67135113741999, 62.60105237399263,
    62.530753610535321, 62.460454847048261, 62.3901560835317, 62.319857319985871, 62.249558556410982,
    62.179259792807258, 62.108961029174914, 62.038662265514176, 61.968363501825259, 61.898064738108381,
    61.827765974363729, 61.757467210591535, 61.687168446791986, 61.616869682965287, 61.546570919111666,
    61.476272155231321, 61.405973391324409, 61.335674627391185, 61.265375863431785, 61.195077099446451,
    61.124778335435344, 61.054479571398652, 60.984180807336578, 60.913882043249295, 60.843583279137007,
    60.773284514999872, 60.702985750838074, 60.632686986651805, 60.562388222441243, 60.492089458206543,
    60.421790693947884, 60.35149192966545, 60.28119316535939, 60.21089440102989, 60.140595636677112,
    60.070296872301235, 59.999998107902378, 59.929699343480763, 59.859400579036503, 59.78910181456979,
    59.718803050080759, 59.64850428556958, 59.578205521036402, 59.507906756481383, 59.43760799190467,
    59.3673092273064, 59.29701046268675, 59.226711698045854, 59.156412933383855, 59.086114168700909,
    59.015815403997145, 58.945516639272725, 58.875217874527763, 58.804919109762423, 58.73462034497684,
    58.664321580171141, 58.594022815345468, 58.523724050499972, 58.453425285634758, 58.383126520749968,
    58.312827755845746, 58.242528990922203, 58.172230225979497, 58.101931461017728, 58.031632696037022,
    57.961333931037537, 57.891035166019364, 57.820736400982646, 57.75043763592749, 57.680138870854037,
    57.60984010576238, 57.539541340652676, 57.469242575525016, 57.398943810379521, 57.328645045216312,
    57.258346280035504, 57.188047514837208, 57.117748749621541, 57.047449984388614, 56.977151219138541,
    56.90685245387143, 56.836553688587379, 56.766254923286517, 56.695956157968951, 56.625657392634771,
    56.555358627284086, 56.485059861917016, 56.41476109653366, 56.34446233113411, 56.274163565718467,
    56.203864800286865, 56.133566034839362, 56.063267269376091, 55.992968503897131, 55.922669738402583,
    55.852370972892551, 55.782072207367136, 55.711773441826416, 55.641474676270505, 55.571175910699488,
    55.500877145113449, 55.430578379512511, 55.360279613896743, 55.289980848266232, 55.219682082621084,
    55.149383316961377, 55.07908455128721, 55.008785785598668, 54.938487019895831, 54.868188254178797,
    54.797889488447652, 54.727590722702473, 54.657291956943347, 54.586993191170357, 54.516694425383605,
    54.446395659583146, 54.376096893769081, 54.305798127941479, 54.235499362100448, 54.165200596246031,
    54.094901830378333, 54.024603064497434, 53.954304298603383, 53.884005532696307, 53.813706766776235,
    53.743408000843282, 53.673109234897495, 53.602810468938962, 53.53251170296776, 53.462212936983953,
    53.391914170987633, 53.321615404978871, 53.251316638957725, 53.181017872924265, 53.110719106878584,
    53.040420340820731, 52.970121574750792, 52.899822808668837, 52.829524042574917, 52.759225276469131,
    52.688926510351514, 52.618627744222159, 52.548328978081123, 52.478030211928477, 52.407731445764284,
    52.337432679588609, 52.26713391340153, 52.196835147203096, 52.126536380993372, 52.056237614772435,
    51.985938848540336, 51.915640082297152, 51.845341316042933, 51.775042549777737, 51.704743783501634,
    51.634445017214695, 51.56414625091697, 51.493847484608516, 51.423548718289396, 51.353249951959683,
    51.282951185619417, 51.21265241926865, 51.14235365290746, 51.072054886535909, 51.001756120154049,
    50.931457353761914, 50.86115858735959, 50.790859820947119, 50.720561054524559, 50.650262288091959,
    50.579963521649397, 50.509664755196901, 50.439365988734544, 50.369067222262359, 50.298768455780426,
    50.228469689288779, 50.158170922787484, 50.087872156276575, 50.017573389756123, 49.947274623226157,
    49.876975856686762, 49.80667709013796, 49.736378323579807, 49.66607955701236, 49.595780790435676,
    49.525482023849783, 49.455183257254745, 49.384884490650613, 49.314585724037435, 49.244286957415234,
    49.173988190784094, 49.103689424144044, 49.03339065749514, 48.963091890837418, 48.892793124170929,
    48.822494357495721, 48.752195590811837, 48.681896824119335, 48.611598057418242, 48.541299290708608,
    48.47100052399049, 48.400701757263917, 48.330402990528938, 48.260104223785596, 48.189805457033941,
    48.119506690274015, 48.049207923505868, 47.978909156729507, 47.908610389945018, 47.838311623152421,
    47.76801285635176, 47.697714089543084, 47.627415322726435, 47.557116555901828, 47.486817789069342,
    47.416519022228997, 47.346220255380835, 47.275921488524894, 47.205622721661214, 47.13532395478984,
    47.065025187910805, 46.994726421024154, 46.924427654129929, 46.85412888722815, 46.783830120318882,
    46.713531353402139, 46.643232586477971, 46.572933819546414, 46.502635052607502, 46.432336285661272,
    46.362037518707766, 46.291738751747012, 46.221439984779053, 46.151141217803925, 46.080842450821663,
    46.01054368383231, 45.94024491683588, 45.869946149832437, 45.799647382821995, 45.729348615804589,
    45.659049848780263, 45.588751081749038, 45.51845231471097, 45.448153547666081, 45.377854780614399,
    45.30755601355596, 45.237257246490813, 45.166958479418959, 45.096659712340461, 45.026360945255341,
    44.956062178163634, 44.885763411065362, 44.81546464396056, 44.745165876849271, 44.674867109731515,
    44.604568342607337, 44.534269575476756, 44.463970808339802, 44.39367204119651, 44.323373274046915,
    44.253074506891046, 44.182775739728925, 44.112476972560586, 44.042178205386072, 43.971879438205391,
    43.9015806710186, 43.831281903825705, 43.760983136626741, 43.690684369421732, 43.620385602210717,
    43.550086834993728, 43.479788067770777, 43.409489300541907, 43.339190533307139, 43.26889176606651,
    43.19859299882004, 43.128294231567757, 43.057995464309691, 42.987696697045862, 42.917397929776307,
    42.847099162501053, 42.776800395220121, 42.706501627933541, 42.63620286064134, 42.565904093343548,
    42.495605326040177, 42.425306558731272, 42.355007791416853, 42.284709024096927, 42.214410256771551,
    42.144111489440725, 42.073812722104492, 42.003513954762873, 41.933215187415882, 41.862916420063563,
    41.792617652705921, 41.722318885343, 41.6520201179748, 41.581721350601363, 41.511422583222718,
    41.441123815838885, 41.370825048449873, 41.300526281055724, 41.230227513656445, 41.159928746252085,
    41.089629978842645, 41.01933121142816, 40.949032444008644, 40.878733676584126, 40.808434909154634,
    40.738136141720176, 40.667837374280786, 40.597538606836487, 40.527239839387299, 40.456941071933244,
    40.386642304474343, 40.316343537010617, 40.246044769542102, 40.175746002068806, 40.105447234590748,
    40.035148467107952, 39.964849699620437, 39.894550932128247, 39.824252164631375, 39.753953397129855,
    39.683654629623703, 39.613355862112947, 39.543057094597607, 39.472758327077692, 39.402459559553229,
    39.332160792024254, 39.261862024490775, 39.191563256952804, 39.121264489410365, 39.050965721863491,
    38.980666954312184, 38.910368186756479, 38.840069419196389, 38.769770651631937, 38.699471884063136,
    38.629173116490001, 38.558874348912568, 38.488575581330842, 38.418276813744846, 38.347978046154608,
    38.277679278560143, 38.20738051096145, 38.137081743358586, 38.066782975751536, 37.99648420814033,
    37.926185440524989, 37.855886672905527, 37.785587905281965, 37.715289137654317, 37.644990370022605,
    37.574691602386856, 37.504392834747065, 37.434094067103274, 37.363795299455489, 37.293496531803719,
    37.223197764147997, 37.152898996488332, 37.082600228824752, 37.012301461157264, 36.942002693485883,
    36.871703925810628, 36.801405158131523, 36.731106390448581, 36.660807622761808, 36.590508855071242,
    36.520210087376888, 36.449911319678755, 36.379612551976876, 36.309313784271254, 36.239015016561908,
    36.16871624884886, 36.098417481132117, 36.028118713411708, 35.957819945687639, 35.887521177959933,
    35.817222410228595, 35.746923642493655, 35.676624874755113, 35.606326107012997, 35.536027339267314,
    35.465728571518085, 35.395429803765317, 35.325131036009047, 35.254832268249267, 35.184533500486005,
    35.114234732719261, 35.043935964949064, 34.973637197175435, 34.903338429398374, 34.833039661617903,
    34.762740893834028, 34.692442126046771, 34.622143358256153, 34.551844590462188, 34.481545822664863,
    34.411247054864234, 34.340948287060286, 34.270649519253041, 34.200350751442521, 34.130051983628725,
    34.059753215811682, 33.989454447991392, 33.919155680167876, 33.848856912341155, 33.778558144511237,
    33.708259376678136, 33.637960608841851, 33.567661841002426, 33.497363073159853, 33.42706430531414,
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